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Finding the Fourth Proportional to 377.02, 565.09 and 145.80

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Solution

The fourth proportional to 377.02, 565.09 and 145.80 is: 218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.02 : 565.09 = 145.80 : x
  2. Step 2: Convert to fraction form
    377.02/565.09 = 145.80/x
  3. Step 3: Cross multiply
    377.02x = 565.09 × 145.80
  4. Step 4: Simplify right side
    377.02x = 82,390.58
  5. Step 5: Solve for x
    x = 82,390.58/377.02
  6. Step 6: Final answer
    x = 218.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.